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56784631920 = 24352331331841
BaseRepresentation
bin110100111000101000…
…001011100001110000
312102120102022011221120
4310320220023201300
51412243331210140
642030403422240
74050114256512
oct647050134160
9172512264846
1056784631920
112209a498475
12b009084980
13547c56a623
142a69827bb2
15172531b1d0
hexd38a0b870

56784631920 has 160 divisors (see below), whose sum is σ = 189611864064. Its totient is φ = 14016921600.

The previous prime is 56784631907. The next prime is 56784631933. The reversal of 56784631920 is 2913648765.

It is an interprime number because it is at equal distance from previous prime (56784631907) and next prime (56784631933).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5200 + ... + 337040.

It is a 1-persistent number, because it is pandigital, but 2⋅56784631920 = 113569263840 is not.

Almost surely, 256784631920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56784631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94805932032).

56784631920 is an abundant number, since it is smaller than the sum of its proper divisors (132827232144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56784631920 is a wasteful number, since it uses less digits than its factorization.

56784631920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331911 (or 331905 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 56784631920 in words is "fifty-six billion, seven hundred eighty-four million, six hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4278 5520 5704 7130 7440 8556 10695 11408 14260 17112 21390 28520 34224 42780 57040 85560 171120 331841 663682 995523 1327364 1659205 1991046 2654728 3318410 3982092 4977615 5309456 6636820 7632343 7964184 9955230 10287071 13273640 15264686 15928368 19910460 20574142 22897029 26547280 30529372 30861213 38161715 39820920 41148284 45794058 51435355 61058744 61722426 76323430 79641840 82296568 91588116 102870710 114485145 122117488 123444852 152646860 154306065 164593136 183176232 205741420 228970290 236602633 246889704 305293720 308612130 366352464 411482840 457940580 473205266 493779408 610587440 617224260 709807899 822965680 915881160 946410532 1183013165 1234448520 1419615798 1831762320 1892821064 2366026330 2468897040 2839231596 3549039495 3785642128 4732052660 5678463192 7098078990 9464105320 11356926384 14196157980 18928210640 28392315960 56784631920